In this paper, the existence, multiplicity and noexistence of positive solutions for a class of semipositone discrete boundary value problems with two parameters is studied by applying nonsmooth critical point theory and sub-super solutions method. Keywords—Discrete boundary value problems, nonsmooth critical point theory, positive solutions, semipositone, sub-super solutions method

We consider N = 2 super Yang-Mills theory with SU(2) gauge group and a single quark hypermultiplet in the fundamental representation. For a specific value of the quark bare mass and at a certain point in the moduli space of vacua, the central charges corresponding to two mutually non-local electro-magnetic charges vanish simultaneously, indicating the possibility of massless such states in the ...

Higgs inflation can occur if the Standard Model (SM) is a self-consistent effective field theory up to inflationary scale. This leads to a lower bound on the Higgs boson mass, Mh ≥ Mcrit. If Mh is more than a few hundreds of MeV above the critical value, the Higgs inflation predicts the universal values of inflationary indexes, r ' 0.003 and ns ' 0.97, independently on the Standard Model parame...

More on the exact solution of the O(n) model on a random lattice and an investigation of the case |n| > 2 Abstract For n ∈ [−2, 2] the O(n) model on a random lattice has critical points to which a scaling behaviour characteristic of 2D gravity interacting with conformal matter fields with c ∈ [−∞, 1] can be associated. Previously we have written down an exact solution of this model valid at any...